No, a scalene triangle cannot be equilateral.
Understanding Triangle Types
- Scalene Triangle: A scalene triangle has all three sides of different lengths.
- Equilateral Triangle: An equilateral triangle has all three sides of equal length.
Because of the defining characteristics of each type of triangle, it's impossible for a triangle to be both scalene and equilateral. If a triangle has all sides of equal length, it cannot have all sides of different lengths.
Example
Imagine a triangle with sides measuring 5 cm, 7 cm, and 9 cm. This triangle is a scalene triangle because all sides have different lengths. It cannot be an equilateral triangle because it does not have three sides of equal length.
